REVIEW 2 major objections 5 minor 161 references
Halo magnetic fields erase their seed origin by z=0; the intergalactic medium keeps it, and SN injection alone falls short of gamma-ray lower limits.
Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →
T0 review · grok-4.5
2026-07-13 06:29 UTC pith:USVXDRLW
load-bearing objection Solid TNG-based magnetogenesis suite: halo dynamo saturation is robust; the IGM high-z claim is real but tied to one hand-tuned BH-wind point they themselves show is movable. the 2 major comments →
Magnetogenesis by galactic processes: impact on circumgalactic and intergalactic fields
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
At z=0, magnetic field strengths inside halos of roughly 10^11.5–10^12 solar masses are largely insensitive to whether the seed was primordial or injected by supernova or black-hole winds; the final budget is set by dynamo action. In the intergalactic medium the seed memory survives: supernova-only injection underproduces the volume-filling fields implied by gamma-ray cascade lower limits at both z=0 and z~3, while the authors’ particular black-hole injection meets today’s limits but remains in mild tension at high redshift, so those constraints likely need modified feedback or a residual primordial component.
What carries the argument
Sub-grid magnetic-dipole injection into wind particles (a fraction of supernova wind energy, or of high-accretion black-hole feedback energy) that recouple and deposit a dipole into neighbouring gas cells; the resulting energy is then amplified by small-scale and halo-scale dynamos whose power spectra approach saturation independent of the original seed.
Load-bearing premise
The magnetic and kinetic energy fractions loaded into the winds, and the black-hole launch-velocity formula, are free parameters chosen as large as possible while still keeping the simulated galaxy population roughly consistent with observed star-formation and stellar-mass relations, not fixed by microphysics.
What would settle it
A direct measurement or tighter lower limit on the volume-filling fraction of intergalactic magnetic field strength above roughly 10^-10.8 microgauss at z~3 that cannot be reached by any plausible recalibration of the black-hole wind scheme while still matching galaxy observables.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper presents a suite of AREPO cosmological MHD simulations (L_box=25 Mpc/h) built on the IllustrisTNG galaxy formation model, comparing uniform primordial seed fields to subgrid magnetic injection during SN and high-accretion SMBH feedback (via wind particles that deposit randomly oriented dipoles normalized by Eq. 1). Halo magnetic field strengths at z=0 are found to be largely similar across seeding models and regulated by small-scale and halo-scale dynamo action (radial profiles, Fig. 3; kinetic/magnetic power spectra with Kazantsev/Kolmogorov scalings, Fig. 4), while topology differs (smaller coherence lengths in BH-driven runs, Fig. 8). Feedback injection accelerates dynamo onset and improves resolution convergence, especially in lower-mass halos (Appendix A). In the IGM, SN-only injection underproduces volume-filling fields relative to γ-ray cascade lower limits at z=0 and z~3, whereas the authors’ specific BH-wind prescription meets present-day limits but remains in mild tension at high z (Fig. 7), leading to the claim that reconciling those high-z constraints likely requires modified feedback or an additional primordial component.
Significance. If the halo result holds, it strengthens the view that dynamo saturation largely erases seed memory inside collapsed structures, while IGM magnetization retains a clearer imprint of origin and transport—an important distinction for interpreting γ-ray, UHECR, and Faraday-rotation constraints. The work is concrete and useful: multi-model radial profiles, power spectra, filament and IGM statistics, a local field-line coherence diagnostic (THOR), resolution suites (Appendix A), and explicit BH-wind parameter variations (Appendix B). The authors also document that their free magnetic/kinetic fractions are near-maximal values chosen to preserve SFRD and M⋆/M200 (Section 3.1, Fig. 1), which is transparent even if it limits uniqueness. The paper is a solid contribution to the astrophysical-versus-primordial magnetogenesis debate, provided the IGM conclusions are framed as model-dependent rather than generic.
major comments (2)
- The load-bearing IGM claim (abstract; §3.4; §4 point 4)—that SN-only underproduces γ-ray lower limits while “our specific SMBH-based injection” satisfies z=0 limits but remains in mild tension at z~3, so reconciling high-z constraints “likely requires either modified feedback prescriptions or an additional primordial seeding component”—rests on free parameters of §2.3.2 and §3.1 (τ_mag,SN=1%, τ_kin,BH=0.1%, τ_mag,BH=0.02%, the massless-wind velocity law Eq. 3, magnetization only of the high-accretion channel, and the E_min,KE burstiness threshold). These are hand-chosen as near-maximal values that keep SFRD and M⋆/M200 roughly observational (Fig. 1), not fixed by microphysics. Appendix B then shows that IGM volume-filling fractions are highly sensitive to exactly those knobs: reducing burstiness (E_min,KE ↓100×) substantially lowers filling fractions (Fig. B2); doubling launch velocity l
- §3.4 and Fig. 7 compare IGM filling fractions to Neronov & Vovk (2010) and Vovk (2026) lower limits, but the text itself notes that plasma instabilities may dominate pair-cascade energy losses (Broderick et al. 2012; Perry & Lyubarsky 2021), making the robustness of those limits non-trivial. Given that the paper’s distinctive conclusion is framed against these specific high-z constraints, the discussion should either (i) quantify how the “mild tension” changes under alternate cascade interpretations, or (ii) demote the high-z inference from a primary claim to a conditional statement under the inverse-Compton-dominated assumption. As written, the abstract and §4 point 4 over-weight a contested observational anchor relative to the paper’s own caveats.
minor comments (5)
- Section 2.3 / Eq. 1: the dipole normalization and the choice of 64±4 neighbor cells are reasonable but under-motivated; a short note on sensitivity to neighbor number or soft radius would help reproducibility.
- Figure 2 white contours and the M200c ≳ 10^11.5 M⊙ convergence cut (Appendix A) are important; state the mass cut more prominently in the main-text figure caption so readers do not over-interpret unconverged low-mass systems.
- Section 3.5: the 30° / 10-cell coherence proxy is arbitrary (as acknowledged); reporting one alternate angle or a power-spectrum integral scale for a subset of environments would strengthen the topology comparison.
- Low-accretion (kinetic) SMBH feedback is left unmagnetized by design (§2.3.2). A one-sentence justification that this choice does not reverse the IGM ordering would close an obvious loophole.
- Minor typos and notation: “V ovk” spacing, occasional “Byz=0” concatenation, and inconsistent use of B_prim vs Bseed across figures/appendices.
Circularity Check
No load-bearing circularity: free magnetic/kinetic fractions are maximized under external galaxy constraints (SFRD, SHMR), then IGM filling fractions are compared to independent γ-ray lower limits; Appendix B sensitivity is acknowledged model dependence, not a tautology.
full rationale
The paper's derivation chain is a suite of AREPO+TNG simulations with three classes of seeding (primordial uniform Bprim, SN-wind magnetic loading τmag,SN, BH-wind kinetic+magnetic loading τkin,BH/τmag,BH plus a massless-wind velocity law). Halo |B| similarity and dynamo saturation (Figs. 3–4) emerge from the resolved MHD evolution itself and are cross-checked by resolution suites (Appendix A). IGM conclusions (Figs. 6–7) are obtained by measuring volume-filling fractions in the same runs and overlaying external γ-ray cascade lower limits (Neronov & Vovk 2010; Vovk 2026); those limits are never used as fit targets. The free parameters are explicitly chosen as the largest values that still keep the simulated SFRD and M⋆/M200c roughly consistent with Behroozi/Moster/Madau data (Section 3.1, Fig. 1), i.e., calibration to a disjoint observable set. Appendix B then varies burstiness, launch velocity and seed mass and shows that IGM filling fractions move, which the authors themselves flag as motivation for future re-calibration rather than a forced prediction. Self-citations (Garaldi et al. 2021, prior Ramesh papers) supply methods or qualitative context and are not invoked as uniqueness theorems that close the argument. No equation reduces the claimed IGM tension to a definitional identity or to a fit of the same quantity being predicted. The residual score of 1 reflects only the ordinary presence of free sub-grid parameters whose values affect the quantitative IGM result; that is model dependence, not circularity under the stated criteria.
Axiom & Free-Parameter Ledger
free parameters (7)
- τ_mag,SN =
0.01
- τ_kin,BH =
0.001
- τ_mag,BH =
0.0002
- B_prim =
10^-14 cG
- v_wind(M_BH) coefficients =
500 km/s base; 500/3 dex slope
- E_min,KE / burstiness threshold =
1/2 m_bar v_wind^2 (fiducial)
- τ_thm,SN =
0.10
axioms (5)
- domain assumption Ideal MHD with Powell eight-wave divergence control adequately captures cosmic magnetic amplification and transport on resolved scales.
- domain assumption The IllustrisTNG cooling, star formation, SN wind, and dual-mode SMBH feedback model is a valid base for magnetogenesis experiments.
- ad hoc to paper Magnetic energy injected at wind recoupling can be represented as a randomly oriented dipole normalized by Eq. 1 into ~64 neighboring cells.
- domain assumption γ-ray cascade non-detections imply volume-filling IGM |B| lower limits comparable to the vertical lines used in Figure 7 (Neronov & Vovk 2010; Vovk 2026).
- ad hoc to paper Low-accretion kinetic SMBH feedback need not inject magnetic energy for the conclusions drawn.
invented entities (2)
-
Massless BH wind particles carrying only momentum and a magnetic dipole
no independent evidence
-
Subgrid magnetic dipole injection at SN/BH wind recoupling
no independent evidence
read the original abstract
We investigate the origin and evolution of cosmic magnetic fields using a suite of large-volume cosmological magnetohydrodynamic simulations (L$_\mathrm{box}=25$ Mpc/h) run with the moving-mesh code AREPO. Atop the IllustrisTNG galaxy formation model, we implement additional recipes for magnetogenesis in which magnetic energy is injected during supernovae (SNe) and supermassive black hole (SMBH) feedback events, and compare these to simulations initialized with uniform primordial seed fields. Halo magnetic field strengths at $z=0$ are largely similar across seeding models and are primarily amplified and sustained by small-scale and halo-scale dynamo action. Nevertheless, we find differences in magnetic field topology, with SMBH-driven models exhibiting systematically smaller coherence lengths than primordial-only and SNe-only runs. We find that feedback-driven injection accelerates the onset of dynamo growth, leading to more rapid convergence of magnetic field strengths with numerical resolution, particularly in low-mass halos. In the intergalactic medium (IGM), SNe-only injection underproduces magnetic fields relative to inferred lower limits from $\gamma$-ray cascade constraints at both $z=0$ and $z \sim 3$, whereas our specific SMBH-based injection prescription satisfies present-day constraints but remains in mild tension at high redshifts. Reconciling these specific high-$z$ constraints therefore likely requires either modified feedback prescriptions or an additional primordial seeding component.
Figures
Reference graph
Works this paper leans on
-
[24]
U ber den Ursprung der Magnetfelder auf Sternen und im interstellaren Raum (miteinem Anhang von A. Schl \
\"U ber den Ursprung der Magnetfelder auf Sternen und im interstellaren Raum (miteinem Anhang von A. Schl \"u ter). Zeitschrift Naturforschung Teil A , year = 1950, month = jan, volume =
1950
-
[28]
, keywords =
The origin and cosmogonic implications of seed magnetic fields. , keywords =
-
[58]
Reviews of Plasma Physics , year = 1965, month = jan, volume =
Transport Processes in a Plasma. Reviews of Plasma Physics , year = 1965, month = jan, volume =
1965
-
[64]
The survival of gas clouds in the circumgalactic medium of Milky Way-like galaxies. , keywords =. doi:10.1093/mnras/stx1239 , archivePrefix =. 1608.05416 , primaryClass =
-
[65]
Hydrodynamic and hydromagnetic stability
-
[71]
, year = 1965, month = aug, volume =
Thermal Instability. , year = 1965, month = aug, volume =. doi:10.1086/148317 , adsurl =
doi:10.1086/148317 1965
-
[72]
Thermal instability in gravitationally stratified plasmas: implications for multiphase structure in clusters and galaxy haloes. , keywords =. doi:10.1111/j.1365-2966.2011.19972.x , archivePrefix =. 1105.2563 , primaryClass =
-
[73]
Turbulence in the intracluster medium: simulations, observables, and thermodynamics. , keywords =. doi:10.1093/mnras/stz328 , archivePrefix =. 1810.00018 , primaryClass =
-
[76]
The effect of magnetic fields on properties of the circumgalactic medium
The effect of magnetic fields on properties of the circumgalactic medium. , keywords =. doi:10.1093/mnras/staa3938 , archivePrefix =. 2008.07537 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.1093/mnras/staa3938 2008
-
[77]
On the origin of magnetic driven winds and the structure of the galactic dynamo in isolated galaxies
On the origin of magnetic driven winds and the structure of the galactic dynamo in isolated galaxies. , keywords =. doi:10.1093/mnras/staa817 , archivePrefix =. 1907.11727 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.1093/mnras/staa817 1907
-
[79]
Resistive Magnetic Field Generation at Cosmic Dawn
Resistive Magnetic Field Generation at Cosmic Dawn. , keywords =. doi:10.1088/0004-637X/729/1/73 , archivePrefix =. 1001.2011 , primaryClass =
work page internal anchor Pith review Pith/arXiv arXiv doi:10.1088/0004-637x/729/1/73 2011
-
[114]
Ejective and preventative: the IllustrisTNG black hole feedback and its effects on the thermodynamics of the gas within and around galaxies. , keywords =. doi:10.1093/mnras/staa2607 , archivePrefix =. 2004.06132 , primaryClass =
-
[124]
Akademiia Nauk SSSR Doklady , year = 1941, month = apr, volume =
Dissipation of Energy in Locally Isotropic Turbulence. Akademiia Nauk SSSR Doklady , year = 1941, month = apr, volume =
1941
-
[125]
Soviet Journal of Experimental and Theoretical Physics , year = 1968, month = may, volume =
Enhancement of a Magnetic Field by a Conducting Fluid. Soviet Journal of Experimental and Theoretical Physics , year = 1968, month = may, volume =
1968
-
[127]
, year = 1970, month = mar, volume =
Gravitational instability: An approximate theory for large density perturbations. , year = 1970, month = mar, volume =
1970
-
[155]
Ar \'a mburo-Garc \' a A., Bondarenko K., Boyarsky A., Nelson D., Pillepich A., Sokolenko A., 2021, @doi [ ] 10.1093/mnras/stab1632 , https://ui.adsabs.harvard.edu/abs/2021MNRAS.505.5038A 505, 5038
-
[156]
Ayromlou M., Nelson D., Pillepich A., 2023, @doi [ ] 10.1093/mnras/stad2046 , https://ui.adsabs.harvard.edu/abs/2023MNRAS.524.5391A 524, 5391
-
[157]
Bah \'e Y. M., Jablonka P., 2025, @doi [ ] 10.1051/0004-6361/202554079 , https://ui.adsabs.harvard.edu/abs/2025A&A...702A.145B 702, A145
-
[158]
A., 2000, @doi [ ] 10.1086/308732 , https://ui.adsabs.harvard.edu/abs/2000ApJ...534..420B 534, 420
Balbus S. A., 2000, @doi [ ] 10.1086/308732 , https://ui.adsabs.harvard.edu/abs/2000ApJ...534..420B 534, 420
doi:10.1086/308732 2000
-
[159]
Balbus S. A., Hawley J. F., 1991, @doi [ ] 10.1086/170270 , https://ui.adsabs.harvard.edu/abs/1991ApJ...376..214B 376, 214
doi:10.1086/170270 1991
-
[160]
Barrufet L., et al., 2026, @doi [ ] 10.1093/mnras/stag770 , https://ui.adsabs.harvard.edu/abs/2026MNRAS.548ag770B 548, stag770
-
[161]
Beck R., 2015, @doi [ ] 10.1007/s00159-015-0084-4 , https://ui.adsabs.harvard.edu/abs/2015A&ARv..24....4B 24, 4
-
[162]
M., Dolag K., Lesch H., Kronberg P
Beck A. M., Dolag K., Lesch H., Kronberg P. P., 2013, @doi [ ] 10.1093/mnras/stt1549 , https://ui.adsabs.harvard.edu/abs/2013MNRAS.435.3575B 435, 3575
-
[163]
Behroozi P. S., Wechsler R. H., Conroy C., 2013, @doi [ ] 10.1088/0004-637X/770/1/57 , https://ui.adsabs.harvard.edu/abs/2013ApJ...770...57B 770, 57
-
[164]
Bell A. R., 2004, @doi [ ] 10.1111/j.1365-2966.2004.08097.x , https://ui.adsabs.harvard.edu/abs/2004MNRAS.353..550B 353, 550
-
[165]
Bertone S., Vogt C., En lin T., 2006, @doi [ ] 10.1111/j.1365-2966.2006.10474.x , https://ui.adsabs.harvard.edu/abs/2006MNRAS.370..319B 370, 319
-
[166]
Bhowmick A. K., et al., 2024, @doi [ ] 10.1093/mnras/stae1386 , https://ui.adsabs.harvard.edu/abs/2024MNRAS.531.4311B 531, 4311
-
[167]
Biermann L., 1950, Zeitschrift Naturforschung Teil A, https://ui.adsabs.harvard.edu/abs/1950ZNatA...5...65B 5, 65
1950
-
[168]
Binney J., Tremaine S., 1987, Galactic dynamics
1987
-
[169]
Bonafede A., Feretti L., Murgia M., Govoni F., Giovannini G., Dallacasa D., Dolag K., Taylor G. B., 2010, @doi [ ] 10.1051/0004-6361/200913696 , https://ui.adsabs.harvard.edu/abs/2010A&A...513A..30B 513, A30
-
[170]
Booth C. M., Agertz O., Kravtsov A. V., Gnedin N. Y., 2013, @doi [ ] 10.1088/2041-8205/777/1/L16 , https://ui.adsabs.harvard.edu/abs/2013ApJ...777L..16B 777, L16
-
[171]
P., 1990, @doi [ ] 10.1086/169509 , https://ui.adsabs.harvard.edu/abs/1990ApJ...365..544B 365, 544
Boulares A., Cox D. P., 1990, @doi [ ] 10.1086/169509 , https://ui.adsabs.harvard.edu/abs/1990ApJ...365..544B 365, 544
doi:10.1086/169509 1990
-
[172]
I., 1965, Reviews of Plasma Physics, https://ui.adsabs.harvard.edu/abs/1965RvPP....1..205B 1, 205
Braginskii S. I., 1965, Reviews of Plasma Physics, https://ui.adsabs.harvard.edu/abs/1965RvPP....1..205B 1, 205
1965
-
[173]
Brandenburg A., Subramanian K., 2005, @doi [ ] 10.1016/j.physrep.2005.06.005 , https://ui.adsabs.harvard.edu/abs/2005PhR...417....1B 417, 1
-
[174]
Broderick A. E., Chang P., Pfrommer C., 2012, @doi [ ] 10.1088/0004-637X/752/1/22 , https://ui.adsabs.harvard.edu/abs/2012ApJ...752...22B 752, 22
-
[175]
Byrohl C., Nelson D., 2024, @doi [The Journal of Open Source Software] 10.21105/joss.06064 , 9, 6064
-
[176]
Byrohl C., Nelson D., 2025, @doi [arXiv e-prints] 10.48550/arXiv.2507.11603 , https://ui.adsabs.harvard.edu/abs/2025arXiv250711603B p. arXiv:2507.11603
-
[177]
Carilli C. L., Taylor G. B., 2002, @doi [ ] 10.1146/annurev.astro.40.060401.093852 , https://ui.adsabs.harvard.edu/abs/2002ARA&A..40..319C 40, 319
-
[178]
Cautun M., van de Weygaert R., Jones B. J. T., 2013, @doi [ ] 10.1093/mnras/sts416 , https://ui.adsabs.harvard.edu/abs/2013MNRAS.429.1286C 429, 1286
-
[179]
Cox D. P., 2005, @doi [ ] 10.1146/annurev.astro.43.072103.150615 , https://ui.adsabs.harvard.edu/abs/2005ARA&A..43..337C 43, 337
Pith/arXiv arXiv doi:10.1146/annurev.astro.43.072103.150615 2005
-
[180]
M., 1999, @doi [ ] 10.1086/307483 , https://ui.adsabs.harvard.edu/abs/1999ApJ...520..706C 520, 706
Crutcher R. M., 1999, @doi [ ] 10.1086/307483 , https://ui.adsabs.harvard.edu/abs/1999ApJ...520..706C 520, 706
doi:10.1086/307483 1999
-
[181]
Crutcher R. M., 2012, @doi [ ] 10.1146/annurev-astro-081811-125514 , https://ui.adsabs.harvard.edu/abs/2012ARA&A..50...29C 50, 29
-
[182]
Daly R. A., Loeb A., 1990, @doi [ ] 10.1086/169429 , https://ui.adsabs.harvard.edu/abs/1990ApJ...364..451D 364, 451
-
[183]
Dav \'e R., Angl \'e s-Alc \'a zar D., Narayanan D., Li Q., Rafieferantsoa M. H., Appleby S., 2019, @doi [ ] 10.1093/mnras/stz937 , https://ui.adsabs.harvard.edu/abs/2019MNRAS.486.2827D 486, 2827
-
[184]
Davis M., Efstathiou G., Frenk C. S., White S. D. M., 1985, @doi [ ] 10.1086/163168 , https://ui.adsabs.harvard.edu/abs/1985ApJ...292..371D 292, 371
doi:10.1086/163168 1985
-
[185]
Dolag K., Stasyszyn F., 2009, @doi [ ] 10.1111/j.1365-2966.2009.15181.x , https://ui.adsabs.harvard.edu/abs/2009MNRAS.398.1678D 398, 1678
-
[186]
Dolag K., Bartelmann M., Lesch H., 1999, @doi [ ] 10.48550/arXiv.astro-ph/0202272 , https://ui.adsabs.harvard.edu/abs/1999A&A...348..351D 348, 351
-
[187]
Dolag K., Bartelmann M., Lesch H., 2002, @doi [ ] 10.1051/0004-6361:20020241 , https://ui.adsabs.harvard.edu/abs/2002A&A...387..383D 387, 383
-
[188]
Dolag K., Grasso D., Springel V., Tkachev I., 2005, @doi [ ] 10.1088/1475-7516/2005/01/009 , https://ui.adsabs.harvard.edu/abs/2005JCAP...01..009D 2005, 009
-
[189]
Donnert J., Dolag K., Lesch H., M \"u ller E., 2009, @doi [ ] 10.1111/j.1365-2966.2008.14132.x , https://ui.adsabs.harvard.edu/abs/2009MNRAS.392.1008D 392, 1008
-
[190]
Durrer R., Neronov A., 2013, @doi [ ] 10.1007/s00159-013-0062-7 , https://ui.adsabs.harvard.edu/abs/2013A&ARv..21...62D 21, 62
-
[191]
Durrive J.-B., Langer M., 2015, @doi [ ] 10.1093/mnras/stv1578 , https://ui.adsabs.harvard.edu/abs/2015MNRAS.453..345D 453, 345
-
[192]
Dursi L. J., Pfrommer C., 2008, @doi [ ] 10.1086/529371 , https://ui.adsabs.harvard.edu/abs/2008ApJ...677..993D 677, 993
doi:10.1086/529371 2008
-
[193]
Elmegreen B. G., Scalo J., 2004, @doi [ ] 10.1146/annurev.astro.41.011802.094859 , https://ui.adsabs.harvard.edu/abs/2004ARA&A..42..211E 42, 211
Pith/arXiv arXiv doi:10.1146/annurev.astro.41.011802.094859 2004
-
[194]
Elvis M., 2000, @doi [ ] 10.1086/317778 , https://ui.adsabs.harvard.edu/abs/2000ApJ...545...63E 545, 63
doi:10.1086/317778 2000
-
[195]
En lin T. A., Vogt C., 2003, @doi [ ] 10.1051/0004-6361:20030172 , https://ui.adsabs.harvard.edu/abs/2003A&A...401..835E 401, 835
-
[196]
Farber R., Ruszkowski M., Yang H.-Y. K., Zweibel E. G., 2018, @doi [ ] 10.3847/1538-4357/aab26d , https://ui.adsabs.harvard.edu/abs/2018ApJ...856..112F 856, 112
-
[197]
Faucher-Gigu \`e re C.-A., Lidz A., Zaldarriaga M., Hernquist L., 2009, @doi [ ] 10.1088/0004-637X/703/2/1416 , https://ui.adsabs.harvard.edu/abs/2009ApJ...703.1416F 703, 1416
-
[198]
Federrath C., 2016, @doi [Journal of Plasma Physics] 10.1017/S0022377816001069 , https://ui.adsabs.harvard.edu/abs/2016JPlPh..82f5301F 82, 535820601
-
[199]
Federrath C., Klessen R. S., 2012, @doi [ ] 10.1088/0004-637X/761/2/156 , https://ui.adsabs.harvard.edu/abs/2012ApJ...761..156F 761, 156
-
[200]
Fielding D. B., Ripperda B., Philippov A. A., 2023, @doi [ ] 10.3847/2041-8213/accf1f , https://ui.adsabs.harvard.edu/abs/2023ApJ...949L...5F 949, L5
-
[201]
Fletcher A., Beck R., Shukurov A., Berkhuijsen E. M., Horellou C., 2011, @doi [ ] 10.1111/j.1365-2966.2010.18065.x , https://ui.adsabs.harvard.edu/abs/2011MNRAS.412.2396F 412, 2396
-
[202]
Gal \'a rraga-Espinosa D., Garaldi E., Kauffmann G., 2023, @doi [ ] 10.1051/0004-6361/202244935 , https://ui.adsabs.harvard.edu/abs/2023A&A...671A.160G 671, A160
-
[203]
Gal \'a rraga-Espinosa D., et al., 2024, @doi [ ] 10.1051/0004-6361/202347982 , https://ui.adsabs.harvard.edu/abs/2024A&A...684A..63G 684, A63
-
[204]
Garaldi E., Pakmor R., Springel V., 2021, @doi [ ] 10.1093/mnras/stab086 , https://ui.adsabs.harvard.edu/abs/2021MNRAS.502.5726G 502, 5726
-
[205]
Goldreich P., Sridhar S., 1995, @doi [ ] 10.1086/175121 , https://ui.adsabs.harvard.edu/abs/1995ApJ...438..763G 438, 763
doi:10.1086/175121 1995
-
[206]
Govoni F., Feretti L., 2004, @doi [International Journal of Modern Physics D] 10.1142/S0218271804005080 , https://ui.adsabs.harvard.edu/abs/2004IJMPD..13.1549G 13, 1549
-
[207]
Grenier I. A., Black J. H., Strong A. W., 2015, @doi [ ] 10.1146/annurev-astro-082214-122457 , https://ui.adsabs.harvard.edu/abs/2015ARA&A..53..199G 53, 199
-
[208]
Hahn O., Abel T., 2011, @doi [ ] 10.1111/j.1365-2966.2011.18820.x , https://ui.adsabs.harvard.edu/abs/2011MNRAS.415.2101H 415, 2101
-
[209]
Hanayama H., Takahashi K., Kotake K., Oguri M., Ichiki K., Ohno H., 2005, @doi [ ] 10.1086/491575 , https://ui.adsabs.harvard.edu/abs/2005ApJ...633..941H 633, 941
doi:10.1086/491575 2005
-
[210]
Harrison E. R., 1970, @doi [ ] 10.1093/mnras/147.3.279 , https://ui.adsabs.harvard.edu/abs/1970MNRAS.147..279H 147, 279
-
[211]
Haugen N. E. L., Brandenburg A., 2004, @doi [ ] 10.1103/PhysRevE.70.036408 , https://ui.adsabs.harvard.edu/abs/2004PhRvE..70c6408H 70, 036408
-
[212]
Hawley J. F., Fendt C., Hardcastle M., Nokhrina E., Tchekhovskoy A., 2015, @doi [ ] 10.1007/s11214-015-0174-7 , https://ui.adsabs.harvard.edu/abs/2015SSRv..191..441H 191, 441
-
[213]
Hennebelle P., 2013, @doi [ ] 10.1051/0004-6361/201321292 , https://ui.adsabs.harvard.edu/abs/2013A&A...556A.153H 556, A153
-
[214]
Hopkins P. F., et al., 2020, @doi [ ] 10.1093/mnras/stz3321 , https://ui.adsabs.harvard.edu/abs/2020MNRAS.492.3465H 492, 3465
-
[215]
Ji S., Oh S. P., McCourt M., 2018, @doi [ ] 10.1093/mnras/sty293 , https://ui.adsabs.harvard.edu/abs/2018MNRAS.476..852J 476, 852
-
[216]
Katz N., Weinberg D. H., Hernquist L., 1996, @doi [ ] 10.1086/192305 , https://ui.adsabs.harvard.edu/abs/1996ApJS..105...19K 105, 19
doi:10.1086/192305 1996
-
[217]
P., 1968, Soviet Journal of Experimental and Theoretical Physics, https://ui.adsabs.harvard.edu/abs/1968JETP...26.1031K 26, 1031
Kazantsev A. P., 1968, Soviet Journal of Experimental and Theoretical Physics, https://ui.adsabs.harvard.edu/abs/1968JETP...26.1031K 26, 1031
1968
-
[218]
Kim W.-T., Ostriker E. C., Stone J. M., 2003, @doi [ ] 10.1086/379367 , https://ui.adsabs.harvard.edu/abs/2003ApJ...599.1157K 599, 1157
-
[219]
N., 1941, Akademiia Nauk SSSR Doklady, https://ui.adsabs.harvard.edu/abs/1941DoSSR..32...16K 32, 16
Kolmogorov A. N., 1941, Akademiia Nauk SSSR Doklady, https://ui.adsabs.harvard.edu/abs/1941DoSSR..32...16K 32, 16
1941
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